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Finding the Fourth Proportional to 74,055.81, 102,196.60 and 40,064.21

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Solution

The fourth proportional to 74,055.81, 102,196.60 and 40,064.21 is: 55,288.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,055.81 : 102,196.60 = 40,064.21 : x
  2. Step 2: Convert to fraction form
    74,055.81/102,196.60 = 40,064.21/x
  3. Step 3: Cross multiply
    74,055.81x = 102,196.60 × 40,064.21
  4. Step 4: Simplify right side
    74,055.81x = 4,094,425,432.54
  5. Step 5: Solve for x
    x = 4,094,425,432.54/74,055.81
  6. Step 6: Final answer
    x = 55,288.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.